editing disabled

The 45 equal division of 3, the tritave, divides it into 45 equal parts of 42.266 cents each, corresponding to 28.392 edo. It makes for a strong 17-limit no-twos system, particularly with respect to the tuning of 5, 13, and 17. It tempers out 3125/3087 in the 7-limit, 891/875 and 2475/2401 in the 11-limit, 275/273, 351/343, 847/845 and 2197/2187 in the 13-limit, and 121/119, 459/455 and 2025/2023 in the 17-limit. It is the tenth no-twos zeta peak edt.

Intervals of 45edt

Degrees
Cents
Approximate Ratios
0
0
1/1
1
42.266

2
84.531

3
126.797
14/13, 15/14, 16/15, 29/27
4
169.063

5
211.328
9/8
6
253.594
15/13
7
295.860

8
338.125

9
380.391
5/4
10
422.657

11
464.922
13/10
12
507.188
4/3
13
549.454

14
591.719
7/5
15
633.985
13/9
16
676.251

17
718.516

18
760.782
14/9
19
803.048
8/5
20
845.313

21
887.579
5/3
22
929.845
12/7
23
972.110
7/4
24
1014.376
9/5
25
1056.642

26
1098.907
17/9
27
1141.173
27/14
28
1183.439

29
1225.704

30
1267.970
27/13
31
1310.236

32
1352.501

33
1394.767
9/4 (9/8 plus an octave)
34
1437.033
16/7
35
1479.298

36
1521.564
12/5 (6/5 plus an octave)
37
1563.830

38
1606.095

39
1648.361
13/5 (13/10 plus an octave)
40
1690.627
8/3
41
1732.892

42
1775.158
14/5 (7/5 plus an octave)
43
1817.424
20/7
44
1859.689

45
1901.955
3/1